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What is a natural frequency of vibration of a mass of rod

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Q: The natural frequency of vibration of a mass M attached to a rod, as in Fig. depends only upon M and the stiffness EI and length L of the rod. Tests with a 2-kg mass attached to a 1040 carbon steel rod of diameter 12 mm and length 40 cm reveal a natural frequency of 0.9 Hz. Use these data to predict the natural frequency of a 1-kg mass attached to a 2024 aluminum-alloy rod of the same size.

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Mechanical Engineering: What is a natural frequency of vibration of a mass of rod

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